Tired legs

Calculus Level 1

Frederick begins to walk a distance of 100 m.100\text{ m}. But he is so tired that, in the first minute, he covers 50 m.50\text{ m}. In the next minute, he covers half of the remaining distance, i.e. 25 m.25\text{ m}. Again, in the next minute, he covers half of the remaining distance, which 12.5 m,12.5\text{ m}, and so on.

Will Frederick be able to complete the 100 m?100\text{ m}?

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